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Conference Paper: Optimal motion estimation from multiview normalized epipolar constraint
Title | Optimal motion estimation from multiview normalized epipolar constraint |
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Authors | |
Issue Date | 2001 |
Citation | Proceedings of the IEEE International Conference on Computer Vision, 2001, v. 1, p. 34-41 How to Cite? |
Abstract | In this paper, we study the structure from motion problem as a constrained nonlinear least squares problem which minimizes the so called reprojection error subject to all constraints among multiple images. By converting this constrained optimization problem to an unconstrained one, we obtain a multiview version of the normalized epipolar constraint of two views. Such a multiview normalized epipolar constraint serves as a statistically optimal objective function for motion (and structure) estimation. Since such a function is defined naturally on a product of Stiefel manifolds, we show how to use geometric optimization techniques to minimize it. We present experimental results on real images to evaluate the proposed algorithm. |
Persistent Identifier | http://hdl.handle.net/10722/326645 |
DC Field | Value | Language |
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dc.contributor.author | Vidal, R. | - |
dc.contributor.author | Ma, Y. | - |
dc.contributor.author | Hsu, S. | - |
dc.contributor.author | Sastry, S. | - |
dc.date.accessioned | 2023-03-31T05:25:29Z | - |
dc.date.available | 2023-03-31T05:25:29Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Proceedings of the IEEE International Conference on Computer Vision, 2001, v. 1, p. 34-41 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326645 | - |
dc.description.abstract | In this paper, we study the structure from motion problem as a constrained nonlinear least squares problem which minimizes the so called reprojection error subject to all constraints among multiple images. By converting this constrained optimization problem to an unconstrained one, we obtain a multiview version of the normalized epipolar constraint of two views. Such a multiview normalized epipolar constraint serves as a statistically optimal objective function for motion (and structure) estimation. Since such a function is defined naturally on a product of Stiefel manifolds, we show how to use geometric optimization techniques to minimize it. We present experimental results on real images to evaluate the proposed algorithm. | - |
dc.language | eng | - |
dc.relation.ispartof | Proceedings of the IEEE International Conference on Computer Vision | - |
dc.title | Optimal motion estimation from multiview normalized epipolar constraint | - |
dc.type | Conference_Paper | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-0034857135 | - |
dc.identifier.volume | 1 | - |
dc.identifier.spage | 34 | - |
dc.identifier.epage | 41 | - |